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3 years ago

A paper weight is in the shape of a square pyramid. The dimensions are shown in the net.

Mathematics

1 answer:

Irina18 [472]3 years ago

6 0

The surface area of the square pyramid net consisting of a square and four triangles is 380 sq. cm

<h3>How to find the surface area of a figure?</h3>

The surface area of a square pyramid is equal to the sum of the ara of the base square and the four triangle.

<h3>Find the area of the square base</h3>

Area of the base = 10cm * 10cm

Base area = 100 sq,cm

Find the area of a triangle

Area of triangle = 0.5 * 10 * 14

Area of a triangle = 70 square cm

Area of 4 triangles = 4(70) = 280 sq.cm

<h3>Determine the surface area</h3>

SA = 100 + 280

SA = 380 sq. cm

Hence the surface area of the square pyramid net consisting of a square and four triangles is 380 sq. cm

Learn more on surface area here: brainly.com/question/16519513

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In a survey of 2264 adults, 729 say they believe in ufos. construct a 95 confidence interval for the population proportion of ad

Andreyy89

90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ].

Here, we have given:

Number of adults (n) = 2272

Number of adults who believe in UFO (x) = 724

Sample proportion (p) = x/n

p = 724 / 2272

p = 0.3187

now, let q = 1 - p

q = 1 - 0.3187

q = 0.6813

Confidence level → 90%

The 90% confidence interval for population proportion is

$[ p - 1.645\frac{\sqrt{pq} }{\sqrt{n}} ,p + 1.645\frac{\sqrt{pq} }{\sqrt{n}} ]$

where 1.645 is Zac value at 90% confidence level.

$p - 1.645\frac{\sqrt{pq} }{\sqrt{n}}$ = 0.3187 - 0.0161 = 0.3026

$p + 1.645\frac{\sqrt{pq} }{\sqrt{n}}$ = 0.3187 + 0.0161 = 0.3348

90% confidence interval for the population proportion is

[ 0.3026, 0.3348 ]

Hence, With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ]

Learn more about " Population Proportion " from here: brainly.com/question/15087042

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5 0

2 years ago

Last year 40 people adopted a mantee through fias foundation this year 30 percent more people adopted a mantee how many more peo

aleksklad [387]

Answer:

12 more people adopted a manatee this year.

Step-by-step explanation:

Convert 30% into a decimal. Divide the percentage by 100:

30 / 100 = 0.3

The problem can be solved with the following equation:

0.3(40) = difference

Multiply 0.3 by 40.

0.3 * 40 = 12

12 more people adopted a manatee this year.

6 0

4 years ago

Wuts 3039 divided by 6

Dafna11 [192]

Answer:

506.5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

John goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon on the cost of the meal. The tax is 8%. He leaves a

Nimfa-mama [501]

Answer:

$37.52

Step-by-step explanation:

4 0

3 years ago

Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p,

Nady [450]

Answer:

<h2> 380 candy bars</h2>

Step-by-step explanation:

Step one:

we are told that the expression for profit is

$p = 1.25n - 475$ -----------------1

the above equation represents the situation

<u>given</u>

profit is $950

<u>Required</u>

n=number of bars

950=1.25n-475

collect like terms

950-475=1.25n

475=1.25n

divide both sides by 1.25

n=475/1.25

n= 380candy bars

4 0

3 years ago